Project Grant 2605589
- The University of Southern California was awarded a $313,002 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into partial differential equations modeling fluid dynamics and fluid-structure interaction, with a focus on establishing existence, uniqueness, and asymptotic behavior of solutions. Key deliverables include studies of fluid models with...
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research aimed at advancing the mathematical analysis of nonlinear partial differential equations. The research has three main focus areas: (1) studying fluid dynamics problems with free boundaries, such as water waves, tsunamis, and hurricanes; (2) investigating the dynamics of gases and plasmas under physical kinetic boundary conditions,...
- This $270,000 Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, will support two research programs related to the mathematical theory of fluids, gases, and plasmas. The first program will examine non-uniqueness phenomena and instability in nonlinear partial differential equations, particularly those used in modeling incompressible fluid mechanics. The second program will investigate the structure of shock...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $748,840 to The Pennsylvania State University under the Mathematical and Physical Sciences program (CFDA 47.049) from September 1, 2022 to August 31, 2025. The funding supports research into partial differential equations modeling incompressible fluids and elastic solids, with a focus on fluid-structure interaction problems, transport of vectors by fluid flow, and seismic fault monitoring. The...
- The National Science Foundation (NSF), through its Mathematical and Physical Sciences (CFDA 47.049) federal grant program, awarded the University of California, San Diego (UCSD) a $240,000 Project Grant to study singularities and long-term dynamics in models of fluids and reactive processes. The 3-year project, running from August 2024 to July 2027, will focus on two main objectives: 1) Analyzing the creation of small-scale structures and singularities in fluid dynamics models, including for...
- The National Science Foundation Division of Mathematical Sciences awarded Purdue University $200,000 on September 1, 2026, for mathematical research across fluid dynamics, kinetic theory, and quantum field theory under the Mathematical and Physical Sciences program (CFDA 47.049). The research will develop mathematical understanding of partial differential equations governing large-scale physical behavior in systems underlying weather prediction, aerodynamics, plasma physics, and materials...
- The National Science Foundation Division of Mathematical Sciences awarded the Regents of the University of Minnesota $300,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on partial differential equations of fluids and the calculus of variations. The project focuses on understanding vortex dynamics through mathematical analysis of the fundamental equations that describe fluid flows, with particular attention to singularity formation...
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $300,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct foundational research on small-scale creation and singularities in fluids and chemotaxis modeling. The project investigates fundamental questions in fluid mechanics, including singularity formation in solutions of two-dimensional incompressible Euler equations, small-scale structure emergence in...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded $300,000 to the California Institute of Technology under the Mathematical and Physical Sciences program (CFDA 47.049) for a two-year project (September 1, 2025 – August 31, 2027) investigating potential singularities in the three-dimensional incompressible Navier-Stokes equations. The research develops novel mathematical and computational approaches to determine whether smooth...
- This Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into the asymptotic behavior of partial differential equations (PDEs) across a range of scientific applications. The Principal Investigator (PI) will investigate long-term propagation and front structure in reaction-diffusion equations, analyze limits of stochastic PDEs in physical systems, and study the effects of viscosity on shock...
The National Science Foundation Division of Mathematical Sciences awarded the University of Southern California three hundred thousand dollars on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study the dynamics of compressible fluids and singularity formation in systems governed by nonlinear partial differential equations. The recipient will analyze conditions under which solutions to partial differential equations in compressible fluid dynamics develop singular behavior, including shock formation, gravitational collapse, and moving free boundaries, as well as conditions permitting global-in-time solutions. The research addresses nonlinear wave propagation and shock formation near stellar boundaries in the gravitational Euler-Poisson system, non-radial stellar collapse and massive white dwarf collapse, the emergence and propagation of physical vacuum free boundaries in compressible gas dynamics, and stability of physically significant structures. The work applies to understanding supernova explosions, stellar formation and end states, vacuum region dynamics, and bubble evolution. The project integrates student research opportunities, mentoring, course development, and dissemination to the broader scientific community. Performance occurs at the University of Southern California in Los Angeles, California, with a period of performance from September 1, 2026, through August 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 7/20/26 |